Rédei, Miklós
(2010)
*Operational independence and operational separability in algebraic quantum mechanics.*
Foundations of Physics, 40 (9-10).
pp. 1439-1449.
ISSN 0015-9018

## Abstract

Recently, new types of independence of a pair of C (*)- or W (*)-subalgebras (A(1,) A(2)) of a C (*)- or W (*)-algebra have been introduced: operational C (*)- and W (*)-independence (Redei and Summers, http://arxiv.org/abs/0810.5294, 2008) and operational C (*)- and W (*)-separability (Redei and Valente, How local are local operations in local quantum field theory? 2009). In this paper it is shown that operational C (*)-independence is equivalent to operational C (*)-separability and that operational W (*)-independence is equivalent to operational W (*)-separability. Specific further sub-types of both operational C (*)- and W (*)-separability and operational C (*)- and W (*)-independence are defined and the problem of characterization of the logical interdependencies of the independence notions is raised.

Item Type: | Article |
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Official URL: | http://www.springer.com/physics/history+%26+philos... |

Additional Information: | © 2010 Springer |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Philosophy, Logic and Scientific Method |

Date Deposited: | 21 Oct 2010 13:40 |

Last Modified: | 04 May 2017 09:35 |

URI: | http://eprints.lse.ac.uk/id/eprint/29719 |

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